| 一类四阶m点边值问题的正解 |
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| 引用本文： | 刘佳音,周伟灿,唐飞,魏海宁.一类四阶m点边值问题的正解[J].南京气象学院学报,2011(6):566-570. |
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| 作者姓名： | 刘佳音 周伟灿 唐飞 魏海宁 |
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| 作者单位： | 南京信息工程大学数理学院, 南京 210044;南京信息工程大学数理学院, 南京 210044;南京信息工程大学数理学院, 南京 210044;南京信息工程大学数理学院, 南京 210044 |
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| 摘 要： | 利用Krasnoselskii不动点定理与不动点指数理论,研究了一类四阶m点边值问题正解的存在情况,在适当的条件下,证明了该类边值问题至少存在一个正解或两个正解.
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| 关 键 词： | 四阶边值问题 存在性 正解 不动点定理 |
| 收稿时间： | 2011/3/31 0:00:00 |
Multiple positive solutions for a class of fourth-order m-point boundary value problems |
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| LIU Jiayin,ZHOU Weican,TANG Fei and WEI Haining.Multiple positive solutions for a class of fourth-order m-point boundary value problems[J].Journal of Nanjing Institute of Meteorology,2011(6):566-570. |
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| Authors: | LIU Jiayin ZHOU Weican TANG Fei and WEI Haining |
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| Affiliation: | College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing 210044;College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing 210044;College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing 210044;College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing 210044 |
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| Abstract: | This paper is concerned with a class of fourth-order m-point nonhomogenous boundary value problems.We show that it has at least one or two positive solutions under some assumptions by applying the Guo-Krasnoselskii fixed point theorem and fixed point index theory. |
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| Keywords: | fourth-order boundary value problem existence positive solutions fixed point theorem |
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